(x-3)dy+ydx=0

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Solution for (x-3)dy+ydx=0 equation:


Simplifying
(x + -3) * dy + ydx = 0

Reorder the terms:
(-3 + x) * dy + ydx = 0

Reorder the terms for easier multiplication:
dy(-3 + x) + ydx = 0
(-3 * dy + x * dy) + ydx = 0

Reorder the terms:
(dxy + -3dy) + ydx = 0
(dxy + -3dy) + ydx = 0

Reorder the terms:
dxy + dxy + -3dy = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + -3dy = 0

Solving
2dxy + -3dy = 0

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'dy'.
dy(2x + -3) = 0

Subproblem 1

Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2x + -3)' equal to zero and attempt to solve: Simplifying 2x + -3 = 0 Reorder the terms: -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Add '-2x' to each side of the equation. 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 0 = 3 + -2x Simplifying 0 = 3 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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